Evaluate
6u^{2}-3u+7
Differentiate w.r.t. u
12u-3
শেয়ার করুন
ক্লিপবোর্ডে কপি করা হয়েছে
7u^{2}-3u+3-u^{2}+4
Combine -5u and 2u to get -3u.
7u^{2}-3u+7-u^{2}
Add 3 and 4 to get 7.
6u^{2}-3u+7
Combine 7u^{2} and -u^{2} to get 6u^{2}.
\frac{\mathrm{d}}{\mathrm{d}u}(7u^{2}-3u+3-u^{2}+4)
Combine -5u and 2u to get -3u.
\frac{\mathrm{d}}{\mathrm{d}u}(7u^{2}-3u+7-u^{2})
Add 3 and 4 to get 7.
\frac{\mathrm{d}}{\mathrm{d}u}(6u^{2}-3u+7)
Combine 7u^{2} and -u^{2} to get 6u^{2}.
2\times 6u^{2-1}-3u^{1-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
12u^{2-1}-3u^{1-1}
Multiply 2 times 6.
12u^{1}-3u^{1-1}
Subtract 1 from 2.
12u^{1}-3u^{0}
Subtract 1 from 1.
12u-3u^{0}
For any term t, t^{1}=t.
12u-3
For any term t except 0, t^{0}=1.
উদাহরণ
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